Multiplication Is An Open Bilinear Mapping in the Banach Algebra of Functions of Bounded Wiener p-Variation

Eugene Shargorodsky, Tiago Canarias, Alexei Karlovich

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Let $BV_p[0,1]$, $1\le p<\infty$, be the Banach algebra of functions of bounded $p$-variation in the sense of Wiener. Recently, Kowalczyk and Turowska \cite{KT19} proved that the multiplication in $BV_1[0,1]$ is an open bilinear mapping. We extend this result for all values of $p\in[1,\infty)$.
Original languageEnglish
Pages (from-to)121-148
JournalReal Analysis Exchange
Volume46
Issue number1
Publication statusPublished - 14 Oct 2021

Fingerprint

Dive into the research topics of 'Multiplication Is An Open Bilinear Mapping in the Banach Algebra of Functions of Bounded Wiener p-Variation'. Together they form a unique fingerprint.

Cite this